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An answer to a question of Kegel on sums of rings

  Published:1998-03-01
 Printed: Mar 1998
  • A. V. Kelarev
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Abstract

We construct a ring $R$ which is a sum of two subrings $A$ and $B$ such that the Levitzki radical of $R$ does not contain any of the hyperannihilators of $A$ and $B$. This answers an open question asked by Kegel in 1964.
MSC Classifications: 16N40, 16N60 show english descriptions Nil and nilpotent radicals, sets, ideals, rings
Prime and semiprime rings [See also 16D60, 16U10]
16N40 - Nil and nilpotent radicals, sets, ideals, rings
16N60 - Prime and semiprime rings [See also 16D60, 16U10]
 

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